Archimedian local -rings and models of synthetic differential geometry
Marta Bunge, Eduardo J. Dubuc (1986)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Marta Bunge, Eduardo J. Dubuc (1986)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Oscar P. Bruno (1985)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Ibragimov, Zair (2003)
Annales Academiae Scientiarum Fennicae. Mathematica
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Arian-Nejad, M. (2002)
International Journal of Mathematics and Mathematical Sciences
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Gianluca Gorni, Gaetano Zampieri (1994)
Annales Polonici Mathematici
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We provide a number of either necessary and sufficient or only sufficient conditions on a local homeomorphism defined on an open, connected subset of the n-space to be actually a homeomorphism onto a star-shaped set. The unifying idea is the existence of "auxiliary" scalar functions that enjoy special behaviours along the paths that result from lifting the half-lines that radiate from a point in the codomain space. In our main result this special behaviour is monotonicity, and the auxiliary...
Jan W. Cholewa, Aníbal Rodríguez-Bernal (2014)
Mathematica Bohemica
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We consider the Cahn-Hilliard equation in with two types of critically growing nonlinearities: nonlinearities satisfying a certain limit condition as and logistic type nonlinearities. In both situations we prove the -bound on the solutions and show that the individual solutions are suitably attracted by the set of equilibria. This complements the results in the literature; see J. W. Cholewa, A. Rodriguez-Bernal (2012).
Novotny, Antonin (1997)
Portugaliae Mathematica
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Mâagli, Habib, Zribi, Malek (2006)
Abstract and Applied Analysis
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Philippe Bouafia (2011)
Annales de la faculté des sciences de Toulouse Mathématiques
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We prove that there does not exist a uniformly continuous retraction from the space of continuous vector fields onto the subspace of vector fields whose divergence vanishes in the distributional sense. We then generalise this result using the concept of -charges, introduced by De Pauw, Moonens, and Pfeffer: on any subset satisfying a mild geometric condition, there is no uniformly continuous representation operator for -charges in .